I have the tensor which is expressed in terms of coordinate vector. I want to define tensor which is the derivative of the former tensor with respect to the coordinate axis:
$$
X = (x_1, x_2, x_3) \\
TD_{\alpha \beta \gamma} = \frac{\partial T_{\alpha \beta}}{\partial
x_\gamma}
$$
However, I want to get the result in terms of general expressions of tensors, for example:
$$
T_{\alpha \beta} = x_\alpha x_\beta \\
TD_{\alpha \beta \gamma} = \delta_{\alpha \gamma} x_\beta + x_\alpha
\delta_{\beta \gamma}
$$
And also I want if that's possible to evaluate certain components of the tensor at given $x_\alpha$ in code.

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